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Finding the Fourth Proportional to 395,086.38, 545,045.45 and 231,659.46

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Solution

The fourth proportional to 395,086.38, 545,045.45 and 231,659.46 is: 319,588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,086.38 : 545,045.45 = 231,659.46 : x
  2. Step 2: Convert to fraction form
    395,086.38/545,045.45 = 231,659.46/x
  3. Step 3: Cross multiply
    395,086.38x = 545,045.45 × 231,659.46
  4. Step 4: Simplify right side
    395,086.38x = 126,264,934,622.46
  5. Step 5: Solve for x
    x = 126,264,934,622.46/395,086.38
  6. Step 6: Final answer
    x = 319,588.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.